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Finding the Third Proportional to 108,954 and 169,387

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Solution

The third proportional to 108,954 and 169,387 is: 263,340.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,954 : 169,387 = 169,387 : x
  2. Step 2: Convert to fraction form
    108,954/169,387 = 169,387/x
  3. Step 3: Cross multiply
    108,954x = 169,387 × 169,387
  4. Step 4: Simplify right side
    108,954x = 28,691,955,769
  5. Step 5: Solve for x
    x = 28,691,955,769/108,954
  6. Step 6: Final answer
    x = 263,340.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.